Bibliography
- DD08
-
L. Dembele and S. Donnelly.
Computing Hilbert Modular Forms Over Fields With Nontrivial Class Group.
In S. Pauli F. Hess and M.Pohst, editors, ANTS VIII, volume 5011 of LNCS. Springer-Verlag, 2008.
- DG88
-
M. Denert and J. Van Geel.
The Class Number of Hereditary Orders in Non-Eichler Algebras over Global Fields.
Math. Ann., 282:379--393, 1988.
- Fri97
-
Carsten Friedrichs.
Berechnung relativer Ganzheitsbasen mit dem Round-2-Algorithmus.
Diplomarbeit, Technische Universität Berlin, 1997.
http://www.math.tu-berlin.de/~kant/publications/diplom/friedrichs.ps.gz.
- Ger03
-
Larry J. Gerstein.
Definite quadratic forms over Fq[X].
J. Algebra, 268(1):252--263, 2003.
- IR93
-
Gábor Ivanyos and Lajos Rónyai.
Finding maximal orders in semisimple algebras over (Q).
Comput. Complexity, 3(3):245--261, 1993.
- KV10
-
M. Kirschmer and J. Voight.
Algorithmic enumeration of ideal classes for quaternion orders.
SIAM J. Comput. (SICOMP), 39(5):1714--1747, 2010.
- Rei03
-
Irving Reiner.
Maximal Orders, volume 28 of LMS Monographs.
Oxford University Press, 2003.
- Vig76
-
M.-F. Vignéras.
Simplification pour les ordres des corps de quaternions totalement définits.
J. Reine Angew. Math., 286-287:257--277, 1976.
- Vig80
-
M.-F. Vignéras.
Arithmétique des Algèbres de Quaternions, volume 800 of Lecture Notes in Mathematics.
Springer-Verlag, Berlin, 1980.
- Voi05
-
John Voight.
Quadratic forms and quaternion algebras: Algorithms and arithmetic.
Dissertation, University of California, Berkeley, 2005.
- Voi11
-
John Voight.
Identifying the matrix ring: algorithms for quaternion algebras and quadratic forms.
2011.
V2.28, 13 July 2023